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Travel_Word_Problems/256353: simbson drives his car with an average velocity of 85 km/h eastward. how long will it take him to drive 560km on a perfect straight highway?
1 solutions

Answer 188474 by rfer(12644) About Me  on 2010-01-13 00:33:01 (Show Source):
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560/85=6.6 hrs=6 hrs 36 min


Angles/255900: The measure of an angle is 5 less than 4 times the measure of the other angle. If the two angles are supplementary angles, find the measure of each angle.
1 solutions

Answer 188151 by rfer(12644) About Me  on 2010-01-11 23:20:54 (Show Source):
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x+4x-5=180
5x=185
x=37 degrees
4x-5=143 degrees


Angles/255883: if one of two supplementary angles is 16 degrees smaller then three times the other, what is the measure of the larger angle?
1 solutions

Answer 188150 by rfer(12644) About Me  on 2010-01-11 23:16:51 (Show Source):
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x+3x-16=180
4x=196
x=49 degrees
3x-16=131 degrees


Quadratic_Equations/255936: 2x + 3y = 15 find the slope
1 solutions

Answer 188148 by rfer(12644) About Me  on 2010-01-11 23:11:33 (Show Source):
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2x+3y=15
3y=2x+15
y=2/3x+15
m=slope=2/3


Miscellaneous_Word_Problems/255958: A check processor can process 1,500 checks in 20 minutes. How many checks can the equipment process in 2 hours?
1 solutions

Answer 188146 by rfer(12644) About Me  on 2010-01-11 23:08:06 (Show Source):


Linear_Algebra/255437: plz help me define variables and write an equation for each phrase. The length of the trip is 35 minutes plus extra time spent in traffic.
1 solutions

Answer 187778 by rfer(12644) About Me  on 2010-01-10 22:43:08 (Show Source):


Rectangles/255441: A length of a rectangle is 8 times its width. The perimeter of the rectangle is 216 inches. What is the algebraic equation you would use to slove this problem? What is the length of the rectangle?
1 solutions

Answer 187777 by rfer(12644) About Me  on 2010-01-10 22:42:03 (Show Source):
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2x+2*8x=216
2x+16x=216
18x=216
x=12 in
8x=96 in


Money_Word_Problems/255450: Nick has 3 times the money Stacey has and Lindsey has 4 times thes money that stacey has. If Rick's $120.00 is added to the group the average amt. of money the four have is $150. How much money does each person have?
1 solutions

Answer 187776 by rfer(12644) About Me  on 2010-01-10 22:38:30 (Show Source):
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n=3x=$180
s=x=$60
l=4x=$240
r=$120
-----------
(3x+x+4x+120)/4=150
8x+120/4=150
8x+120=150*4
8x+120=600
8x=480
x=60


Rectangles/255507: The perimeter of a rectangle is 68 m. The base is six less than three times the height. What is the area?
1 solutions

Answer 187775 by rfer(12644) About Me  on 2010-01-10 22:32:30 (Show Source):
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2x+2(3x-6)=68
2x+6x-12=68
8x=80
x=10
3x-6=24
--------------
A=lw
A=24*10
A=240 sq m


Miscellaneous_Word_Problems/255510: Electricity cost for a restaurant amount to 16 2/3 % of its monthly expenses. If monthly expenses total $8,700, how much does electricity cost?
1 solutions

Answer 187774 by rfer(12644) About Me  on 2010-01-10 22:29:22 (Show Source):
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8700*.166667=$1450


Miscellaneous_Word_Problems/255527: You are driving 15 m/s in your car and drop a ball out the window. 5 seconds later you drop another ball out the window. How far apart on the road are the balls?
1 solutions

Answer 187772 by rfer(12644) About Me  on 2010-01-10 22:26:35 (Show Source):


Finance/255530: The amount of simple interest earned on a savings account varies jointly with time, t(in years), and the principal, p(in dollars). After 5 years, interest on $800 in this savings account is $260.00. What is the annual interest rate(constant of variation)?
1 solutions

Answer 187771 by rfer(12644) About Me  on 2010-01-10 22:25:07 (Show Source):
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I=Prt
r=I/Pt
r=260/(800*5)
r=260/4000
r=.065=6.5%


Linear-equations/255549: find the slope of the line by the equation 8x=48+3y
1 solutions

Answer 187768 by rfer(12644) About Me  on 2010-01-10 22:21:12 (Show Source):
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8x=48+3y
8x-48=3y
same thing
3y=8x-48
y=8/3x-16
-----------
m=slope=8/3 or 2 2/3


Mixture_Word_Problems/255536: PLEASE HELP ME!!
a drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 60 people go on the trip? Round your answer to the nearest cent, if necessary.
1 solutions

Answer 187767 by rfer(12644) About Me  on 2010-01-10 22:17:33 (Show Source):
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30*44=1320
1320/60=$22 each


Finance/255542: Nick borrowed $10000, part at a 12% yearly interest rate and the rest at 14%. He paid $1310 in interest for a year. Find the amount of each loan.
1 solutions

Answer 187765 by rfer(12644) About Me  on 2010-01-10 22:14:46 (Show Source):
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.12x+.14(10000-x)=1310
.12x+1400-.14x=1310
-.02x=-90
x=$4500 at 12%
$5500 at 14%


Distributive-associative-commutative-properties/255546: Please help solve this problem step by step 2/3(x+6)=-2
1 solutions

Answer 187764 by rfer(12644) About Me  on 2010-01-10 22:10:23 (Show Source):
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2/3(x+6)=-2
3/2*2/3(x+6)=-2*(3/2)
x+6=-6/2
x+6=-3
x=-9


Numeric_Fractions/255543: at a college baseball game 4/5 of the spectators are home team fans. the rest of the spectators are opposing team fans. there are 750 opposing team fans.
A. find the fraction of spectators who are opposing team fans.
B.Find the total number of spectators at the game.
C.one third of the home team fans at the game attend the college how many home team fans attend the college.
1 solutions

Answer 187763 by rfer(12644) About Me  on 2010-01-10 22:07:36 (Show Source):
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A)
1/5
B)
750/.2=3750
C)
3000*1/3=3000/3=1000


Percentage-and-ratio-word-problems/255493: ms carson plans to order pizza for a class party. she thinks that 4 pizzas will be enough for 10 people. counting students and parent helpers she needs to order enough pizza for 40 people. how many pizzas should she order? describe your strategy.
1 solutions

Answer 187737 by rfer(12644) About Me  on 2010-01-10 20:15:08 (Show Source):
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4/10=x/40
10x=160
x=16 pizzas


Miscellaneous_Word_Problems/255495: A homeowner paid $112 for 1,400 kilowatt hours (kWh) of electricity. At this rate, how much would, 850 KWh of electricity cost?
1 solutions

Answer 187734 by rfer(12644) About Me  on 2010-01-10 20:13:19 (Show Source):
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112/1400+x/850
1400x=95200
x=$68


Miscellaneous_Word_Problems/255497: After a firm installed new equipment, its cost of producing a business letter dropped from $24 to $20. What percent decrease does this represent?
1 solutions

Answer 187733 by rfer(12644) About Me  on 2010-01-10 20:11:03 (Show Source):


Miscellaneous_Word_Problems/255496: In a recent survey of television shows, Prime Events was watched by 48% of households polled. If there were 240 households watching this show, how many households were surveyed?
1 solutions

Answer 187732 by rfer(12644) About Me  on 2010-01-10 20:09:58 (Show Source):


Money_Word_Problems/255457: The Hartnett Corporation manufactures baseball bats with Sammy Sosa's autograph stamped on. Each bat sells for $13 and has a variable cost of $8. There is $20,000 in fixed costs involved in the production process.
a. Compute the break-even point in units.
b. Find the sales (in units) needed to earn a profit of $15,000

1 solutions

Answer 187731 by rfer(12644) About Me  on 2010-01-10 20:08:38 (Show Source):
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8x+20000=13x
20000=5x
x=4000 bats
-------------
8x+20000+15000=13x
35000=5x
x=7000 bats


Miscellaneous_Word_Problems/255491: Carol, Debbie and Frieda practice the piano for a total of 23 hours per week. Carol practices twice as much as Frieda, and Debbie practices 3 hours more than Frieda every week. How many hours does each woman practice?
1 solutions

Answer 187730 by rfer(12644) About Me  on 2010-01-10 20:02:27 (Show Source):
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c=2x=10 hrs
f=x=5 hrs
d=x+3=8 hrs
2x+x+x+3=23
4x=20
x=5


Rectangles/255446: The length of a rectangle is 8 times its width. The perimeter of the rectangle is 216 inches. What is the algebraic equation you would use to solve this problem? What is the length of the rectangle?
1 solutions

Answer 187729 by rfer(12644) About Me  on 2010-01-10 19:59:44 (Show Source):
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2x+2(8x)=216
2x+16x=216
18x=216
x=12 in
8x=96 in


Percentage-and-ratio-word-problems/255488: the pizzas at grandes pizzas are really large. ms. carson thinks that 4 pizzas will be enough for 16 people. how many pizzas should she order for the 40 people at the class party
1 solutions

Answer 187728 by rfer(12644) About Me  on 2010-01-10 19:55:06 (Show Source):
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4/16+x/40
16x=160
x=10 pizzas


Number-Line/255489: using a number line what is 7+(-8)
1 solutions

Answer 187727 by rfer(12644) About Me  on 2010-01-10 19:53:21 (Show Source):
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7+(-8)
7-8=-1


Miscellaneous_Word_Problems/255422: Two angles are complementary. The sum of the measure of the first angle and one-forth the second angle is 64.5 degree. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
1 solutions

Answer 187726 by rfer(12644) About Me  on 2010-01-10 19:52:06 (Show Source):
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64.5+.75x=90
.75x=25.5
x=34 degrees


Money_Word_Problems/255436: Michelle was working as a clerk in a clothing store. She made a mistake and charged the wrong sales tax. She should have charged 5%, but she charged 6%. The total amouint of money she collected for the day, including sales tax, was $620.10. How much money would she have collected if she charged the correct sales tax?
1 solutions

Answer 187725 by rfer(12644) About Me  on 2010-01-10 19:45:45 (Show Source):
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620.10*.94=582.90
582.90*1.05=$612.04


Equations/255478: 5. Solve the following equation for A : 2A/3 = 8 + 4A

1 solutions

Answer 187721 by rfer(12644) About Me  on 2010-01-10 19:33:59 (Show Source):
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2a/3=8+4a
2a=(8+4a)(3)
2a=24+12a
-10a=24
a=24/-10
a=-2.4


Rectangles/255448: A rectangle has a length that is 6 times longer than its width. If the area od the rectangle is 1014 square feet, what are the length and width of the rectangle? What is the equation you would use to solve the problem?
1 solutions

Answer 187717 by rfer(12644) About Me  on 2010-01-10 19:29:18 (Show Source):
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x(6x)=1014
6x^2=1014
x^2=169
x=13 ft
6x=78 ft


Equations/255453: trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling at 104 mph. Train A passes a station at 6:15 pm. If train B passes the same station at 6:45 pm, at what time will train B catch up to train A?

1 solutions

Answer 187715 by rfer(12644) About Me  on 2010-01-10 19:25:05 (Show Source):
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A has a 50 mile lead
Overtake speed is 4 mph
50/4=12.5 hrs
7:15 am next day